Hardware wise, you can reduce the machine to the most simple usable state possible to eliminate expansions causing the problem.
For software, remove all non standard workbench programs (like MCP, MagicMenu, etc) if you're using any and run workbench in it's most basic form. If you still have problems, it could be hardware.
Find out if the crashes are random, or only happen after a specific sequence of events, or after a certain time.
As mentioned before, reseat all socketed devices on the motherboard. Remove essential expansions like the CPU board and clean edge connectors and sockets with proper gold contact cleaning spray.
Monitor power supply 5V rails for dropouts or excessive noise.
Flex the motherboard while it's running and see if light mechanical stress causes problems (usually hilighting contact problems).
If possible, try swapping memory modules for known good ones, or continuously run MemCheck (from Aminet) for a few hours to soak test all memory addresses.
Dunno, could be lots of things...